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Finding the Third Proportional to 201,350,082 and 310,926,585

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Solution

The third proportional to 201,350,082 and 310,926,585 is: 480,135,594.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,350,082 : 310,926,585 = 310,926,585 : x
  2. Step 2: Convert to fraction form
    201,350,082/310,926,585 = 310,926,585/x
  3. Step 3: Cross multiply
    201,350,082x = 310,926,585 × 310,926,585
  4. Step 4: Simplify right side
    201,350,082x = 96,675,341,259,762,224
  5. Step 5: Solve for x
    x = 96,675,341,259,762,224/201,350,082
  6. Step 6: Final answer
    x = 480,135,594.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.